Advertisements
Advertisements
Question
Factorise the following:
x² + 10x + 24
Advertisements
Solution
Product = 24, sum = 10
Split the middle term as 6x and 4x
x² + 10x + 24 = x² + 6x + 4x + 24
= x(x + 6) + 4(x + 6)
= (x + 6)(x + 4)
APPEARS IN
RELATED QUESTIONS
Identify polynomials in the following:
`f(x)=4x^3-x^2-3x+7`
In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x) and verify the result by actual division: (1−8)
f(x) = x3 + 4x2 − 3x + 10, g(x) = x + 4
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.
x3 − 23x2 + 142x − 120
y3 − 7y + 6
x3 + 13x2 + 32x + 20
Write the remainder when the polynomialf(x) = x3 + x2 − 3x + 2 is divided by x + 1.
If x − a is a factor of x3 −3x2a + 2a2x + b, then the value of b is
If (x − 1) is a factor of polynomial f(x) but not of g(x) , then it must be a factor of
(x+1) is a factor of xn + 1 only if
